Factoring Trinomials: a = 1 (Continued) Answers

10 verified answers1 views
2
Free Preview

Which model shows the correct factorization of x2 + 2x – 8?

A
An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x, 2 are labeled +, and 2 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 15 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled negative x, the 2 tiles below + x squared are labeled + x, and the 8 tiles below the negative x tiles are labeled negative.
Option A
B
An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x, 2 are labeled +, and 2 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 15 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled negative x, the 2 tiles below + x squared are labeled + x, and the 8 tiles below the negative x tiles are labeled negative.
Option B
C
An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x, 4 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled +. 15 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled + x, the 2 tiles below + x squared are labeled negative x, and the 8 tiles below the + x tiles are labeled negative.
Option C
D
An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x, 4 are labeled +. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 15 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled + x, the 2 tiles below + x squared are labeled negative x, and the 8 tiles below the + x tiles are labeled negative.
Option D
3

A polynomial is factored using algebra tiles.

Question illustration
A
x2 – 2x – 8
B
x2 + 2x – 8
C
x2 – 2x – 4
D
x2 + 2x – 4
4

Which shows the factored form of x2 – 12x – 45?

A
(x + 3)(x – 15)
B
(x – 3)(x – 15)
C
(x + 3)(x + 15)
D
(x – 3)(x + 15)
5

The factorization of x2 + 3x – 4 is modeled with algebra tiles.

Question illustration
A
(x + 4) and (x – 4)
B
(x + 3) and (x – 4)
C
(x + 4) and (x – 1)
D
(x + 3) and (x – 1)
6

The factorization of a trinomial is modeled with algebra tiles.

Question illustration
A
x2 + 3x – 6
B
x2 + 5x – 6
C
x2 + 3x – 2
D
x2 + x – 6
7

Which shows the four-term polynomial and factored form of x2 + 6x – 27?

A
x2 + 3x – 9x – 27 = (x + 3)(x – 9)
B
x2 + 6x – 3x– 27 = (x + 6)(x – 3)
C
x2 + 9x – 3x – 27 = (x + 9)(x – 3)
D
x2 + 3x – 6x – 27 = (x + 3)(x – 6)
10

The partial factorization of x2 – 3x – 10 is modeled with algebra tiles.

Question illustration
A
2 negative unit tiles
B
2 positive unit tiles
C
5 negative unit tiles
D
5 positive unit tiles

Did you find these answers helpful?

Factoring Trinomials: a = 1 (Continued) Answers…